Stator current model for detecting rolling bearing faults in induction motors using magnetic equivalent circuits

Abstract Stator current modeling for defective induction motor rolling bearings (IMRBs) based on magnetic equivalent circuits (MEC) is carried out. A dynamic model of rotor system supported by defective IMRBs is established to numerically obtain the non-uniform time-varying air gap length. MEC modeling of a induction motor (IM) is then conducted and a magnetic equivalent network is formed by connecting the flux tubes with nodes. After considering the nonlinear air gap permeance, nonlinear iron material and magnetic saturation, an iterative numerical integration method is proposed to solve the stator current model. Finite element analysis and dynamic tests on a typical IM are carried out for verification. Based on these, the fault characteristic frequencies in stator current spectra are, respectively, identified for outer race spall, inner race spall and ball spall. Fault-related frequencies are basically represented by the combinations between the passing frequency (outer race, inner race or ball), its harmonics and power supply frequency. Due to the modulation of rotor (or cage) rotation, higher harmonics of rotor frequency (or cage frequency) participate in the fault-related frequencies of the inner race (or ball) spall. Some fault-related frequencies, which might be more suitable for condition monitoring of induction motors, are recommended by comparing the slope of each spectral amplitude varying with spall width.

[1]  Fulei Chu,et al.  HVSRMS localization formula and localization law: Localization diagnosis of a ball bearing outer ring fault , 2019, Mechanical Systems and Signal Processing.

[2]  Joshua M Williams,et al.  Incorporating Motion in Mesh-Based Magnetic Equivalent Circuits , 2010, IEEE Transactions on Energy Conversion.

[3]  Carl Q. Howard,et al.  A nonlinear dynamic vibration model of defective bearings – The importance of modelling the finite size of rolling elements , 2015 .

[4]  Carl Q. Howard,et al.  Analyses of contact forces and vibration response for a defective rolling element bearing using an explicit dynamics finite element model , 2014 .

[5]  P. D. McFadden,et al.  Model for the vibration produced by a single point defect in a rolling element bearing , 1984 .

[6]  Feng Wu,et al.  Automatic fault feature extraction of mechanical anomaly on induction motor bearing using ensemble super-wavelet transform , 2015 .

[7]  Jan Desmet,et al.  The reflection of evolving bearing faults in the stator current’s extended park vector approach for induction machines , 2018, Mechanical Systems and Signal Processing.

[8]  C. Hansen,et al.  Analytical validation of an explicit finite element model of a rolling element bearing with a localised line spall , 2018 .

[9]  Nabeel A. O. Demerdash,et al.  Magnetic equivalent circuit modeling of induction machines under stator and rotor fault conditions , 2009, 2009 IEEE International Electric Machines and Drives Conference.

[10]  H.A. Toliyat,et al.  Condition Monitoring and Fault Diagnosis of Electrical Motors—A Review , 2005, IEEE Transactions on Energy Conversion.

[11]  Yimin Shao,et al.  A New Model for the Relationship Between Vibration Characteristics Caused by the Time-Varying Contact Stiffness of a Deep Groove Ball Bearing and Defect Sizes , 2015 .

[12]  C. Tassoni,et al.  Diagnosis of Bearing Faults of Induction Machines by Vibration or Current Signals: A Critical Comparison , 2010, 2008 IEEE Industry Applications Society Annual Meeting.

[13]  Bertrand Raison,et al.  Models for bearing damage detection in induction motors using stator current monitoring , 2008, 2004 IEEE International Symposium on Industrial Electronics.

[14]  Jawad Faiz,et al.  Analytic Model for Induction Motors Under Localized Bearing Faults , 2018, IEEE Transactions on Energy Conversion.

[15]  Noureddine Bessous,et al.  New Vision about the Mixed Eccentricity Fault Causes in Induction Motors and its relationship with the Rolling Element Bearing Faults : Analytical model dedicated to the REB faults , 2018, 2018 International Conference on Communications and Electrical Engineering (ICCEE).

[16]  Arun K. Samantaray,et al.  Ball bearing defect models: A study of simulated and experimental fault signatures , 2017 .

[17]  Humberto Henao,et al.  Trends in Fault Diagnosis for Electrical Machines: A Review of Diagnostic Techniques , 2014, IEEE Industrial Electronics Magazine.

[18]  Hui Ma,et al.  Analysis of varying contact angles and load distributions in defective angular contact ball bearing , 2018, Engineering Failure Analysis.

[19]  Yimin Shao,et al.  A theoretical study on vibrations of a ball bearing caused by a dent on the races , 2018 .

[20]  Robert B. Randall,et al.  Simulating gear and bearing interactions in the presence of faults. Part I. The combined gear bearing dynamic model and the simulation of localised bearing faults , 2008 .

[21]  Noureddine Bessous,et al.  A new analytical model dedicated to diagnose the rolling bearing damage in induction motors - simulation and experimental investigation - , 2016, 2016 4th International Conference on Control Engineering & Information Technology (CEIT).

[22]  T.G. Habetler,et al.  Motor bearing damage detection using stator current monitoring , 1994, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting.

[23]  Vlado Ostović,et al.  Dynamics of Saturated Electric Machines , 1989 .

[24]  G. Barakat,et al.  Induction machine modelling using Permeance Network Method for dynamic simulation of air-gap eccentricity , 2007, 2007 European Conference on Power Electronics and Applications.

[25]  A. Ahmadi,et al.  Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects , 2015 .

[26]  Siliang Lu,et al.  Bearing fault diagnosis of a permanent magnet synchronous motor via a fast and online order analysis method in an embedded system , 2017, Mechanical Systems and Signal Processing.

[27]  Wenguang Yang,et al.  Simulation and experimental analysis of rolling element bearing fault in rotor-bearing-casing system , 2018, Engineering Failure Analysis.

[28]  Fulei Chu,et al.  A four degrees-of-freedom model for a misaligned electrical rotor , 2015 .

[29]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[30]  Wei Qiao,et al.  Bearing Fault Diagnosis for Direct-Drive Wind Turbines via Current-Demodulated Signals , 2013, IEEE Transactions on Industrial Electronics.

[31]  Alberto Bellini,et al.  Bearing Fault Model for Induction Motor With Externally Induced Vibration , 2013, IEEE Transactions on Industrial Electronics.

[32]  Erik Leandro Bonaldi,et al.  Detection of Localized Bearing Faults in Induction Machines by Spectral Kurtosis and Envelope Analysis of Stator Current , 2015, IEEE Transactions on Industrial Electronics.

[33]  Yimin Shao,et al.  Dynamic modeling for rigid rotor bearing systems with a localized defect considering additional deformations at the sharp edges , 2017 .

[34]  Scott D. Sudhoff,et al.  Analysis of Electric Machinery and Drive Systems , 1995 .

[35]  Javad Poshtan,et al.  Bearing fault detection using wavelet packet transform of induction motor stator current , 2007 .

[36]  Q. Han,et al.  A general electromagnetic excitation model for electrical machines considering the magnetic saturation and rub impact , 2018 .

[37]  Hongrui Cao,et al.  Dynamic modeling and vibration response simulations of angular contact ball bearings with ball defects considering the three-dimensional motion of balls , 2017 .

[38]  Chandrabhan Sharma,et al.  A review of induction motor fault modeling , 2016 .

[39]  Dipen S. Shah,et al.  A Review of Dynamic Modeling and Fault Identifications Methods for Rolling Element Bearing , 2014 .

[40]  P.T. Krein,et al.  Magnetic Equivalent Circuit Modeling of Induction Machines Design-Oriented Approach with Extension to 3-D , 2007, 2007 IEEE International Electric Machines & Drives Conference.